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MHT CET 2024 (11 May, Shift 1) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from MHT CET 2024 (11 May, Shift 1)

Q29MHT CET 2024 · 11 MAY · SHIFT 1Medium

Wheatstone Bridge & Metre Bridge

The current drawn from the battery in the given network is (Internal resistance of the battery is negligible)

Figure

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Answer: (b)

6 Ω4 Ω6 Ω4 Ω10 Ω (I = 0)XYLR
  1. Redraw: the two 6 Ω6\ \Omega go from the left terminal to nodes X and Y; the two 4 Ω4\ \Omega go from X and Y to the right terminal; 10 Ω10\ \Omega joins X and Y.
  2. 64=64\dfrac{6}{4} = \dfrac{6}{4}, so the bridge is balanced and 10 Ω10\ \Omega carries no current.
  3. Req=(6+4)∥(6+4)=5 ΩR_{eq} = (6+4) \parallel (6+4) = 5\ \Omega
  4. I=125=2.4I = \dfrac{12}{5} = 2.4 A
  5. So the answer is (b) 2.42.4 A.
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